Physics 13 – Steps and barriers
	Lecture 11: Steps, Tunneling, Wells: Slide 2
	Barrier wave functions
	Barrier waves in time
	Barrier wave function graph
	Barrier penetration graph
	Finite barriers
	Tunneling
	Expectation values
	General expectation values
	Finite well
	Finite well equations
	Finite well solutions
	Finite well solutions cont’d

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